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Finding the Third Proportional to 488.25 and 867.94

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Solution

The third proportional to 488.25 and 867.94 is: 1,542.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.25 : 867.94 = 867.94 : x
  2. Step 2: Convert to fraction form
    488.25/867.94 = 867.94/x
  3. Step 3: Cross multiply
    488.25x = 867.94 × 867.94
  4. Step 4: Simplify right side
    488.25x = 753,315.50
  5. Step 5: Solve for x
    x = 753,315.50/488.25
  6. Step 6: Final answer
    x = 1,542.89

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.